Research Paper#Robotics, Multirotor Design, Optimization, Topology🔬 ResearchAnalyzed: Jan 3, 2026 16:02
N-5 Scaling Law for Multirotor Design
Published:Dec 29, 2025 17:25
•1 min read
•ArXiv
Analysis
This paper introduces a novel approach to multirotor design by analyzing the topological structure of the optimization landscape. Instead of seeking a single optimal configuration, it explores the space of solutions and reveals a critical phase transition driven by chassis geometry. The N-5 Scaling Law provides a framework for understanding and predicting optimal configurations, leading to design redundancy and morphing capabilities that preserve optimal control authority. This work moves beyond traditional parametric optimization, offering a deeper understanding of the design space and potentially leading to more robust and adaptable multirotor designs.
Key Takeaways
- •Introduces a topological approach to multirotor design, moving beyond traditional parametric optimization.
- •Identifies a critical phase transition in the solution space based on chassis geometry.
- •Proposes the N-5 Scaling Law, a predictive model for optimal configurations.
- •Reveals design redundancy allowing for optimality-preserving morphing.
- •Focuses on the intrinsic topological structure of the optimization landscape.
Reference
“The N-5 Scaling Law: an empirical relationship holding for all examined regular planar polygons and Platonic solids (N <= 10), where the space of optimal configurations consists of K=N-5 disconnected 1D topological branches.”